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VikaD [51]
2 years ago
9

The ages of three siblings combined is 27. The oldest is twice the age of the youngest. The middle child is 3 years older than t

he youngest. Write and solve an equation to find the ages of each sibling.
Mathematics
2 answers:
krek1111 [17]2 years ago
8 0
The oldest is 14 the middle is 10 the youngest is 6
Charra [1.4K]2 years ago
7 0
The youngest child is 6,the oldest child is 12,and the middle child is 9.
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Find the missing angle measure.
ycow [4]

Step-by-step explanation:

The sum of all inner angles in the shape should be 540°

(180° for triangles, 360° for squares and other simple 4-corner-shapes, the pattern is the number of corners minus 2 multiplied by 180°)

we can calculate

540-106-94-135=205

so we got 205 degrees for the two unclear corners and one of them has to be 5° greater.

x is 100°

x is 100°x+5 is 105°

(note that in the subtraction part we could have subtracted 5 more and would be left with 2x=200)

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3 years ago
The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or
tigry1 [53]

<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}


P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67

Putting these values,

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%

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3 years ago
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OLEGan [10]

Answer:

Step-by-step explanation:

\[a_{n}=a{1}r^{n-1}\]

r=16/8=2

a_{12}=8(2)^{12-1}

a_{12}=8(2)^{11}=16384  

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stich3 [128]

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Step-by-step explanation:

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What is the best name of the figure with the following coordinates?
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Answer:

D. parallelogram

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3 years ago
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